In this paper, we are concerned with boundary output feedback stabilization of a transport equation with non-local term. First, a boundary state feedback controller is designed by a backstepping approach. The closed-loop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinite-dimensional observer. It is shown that the result closed-loop system is also exponentially stable. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed feedback controller.

中文翻译：

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具有非局部项的运输方程的边界输出反馈镇定

在本文中，我们关注具有非局部项的运输方程的边界输出反馈镇定。首先，通过反步法设计边界状态反馈控制器。通过原始系统和目标系统之间的等效性证明了闭环系统是指数稳定的。然后，我们设计了基于无穷维观测器的输出反馈控制器。结果表明，闭环系统也是指数稳定的。最后，给出一些数值示例来说明所提出的反馈控制器的有效性。